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Finding the Third Proportional to 286,036 and 428,502

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Solution

The third proportional to 286,036 and 428,502 is: 641,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,036 : 428,502 = 428,502 : x
  2. Step 2: Convert to fraction form
    286,036/428,502 = 428,502/x
  3. Step 3: Cross multiply
    286,036x = 428,502 × 428,502
  4. Step 4: Simplify right side
    286,036x = 183,613,964,004
  5. Step 5: Solve for x
    x = 183,613,964,004/286,036
  6. Step 6: Final answer
    x = 641,926.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.